Results 41 to 50 of about 6,267 (199)

About Nilpotent Profinite Groups Largely Satisfying a Word Equation [PDF]

Advances in Group Theory and Applications
We show that in a nilpotent profinite group, the set of answers of a word equation has nonempty interior, provided that this set has a positive Haar measure.
Meisam Soleimani Malekan
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Connecting Model-Based and Model-Free Approaches to Linear Least Squares Regression

Statistica
In a regression setting with a response vector and given regressor vectors, a typical question is to what extent the response is related to these regressors, specifically, how well it can be approximated by a linear combination of the latter.
Lutz Dümbgen, Laurie Davies
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Revisiting Leighton’s theorem with the Haar measure [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 2020
AbstractLeighton’s graph covering theorem states that a pair of finite graphs with isomorphic universal covers have a common finite cover. We provide a new proof of Leighton’s theorem that allows generalisations; we prove the corresponding result for graphs with fins.
openaire   +2 more sources

Frame Wavelet Sets and Wavelets in Banach Spaces [PDF]

Romanian Journal of Mathematics and Computer Science, 2014
In this paper, we try to study a special class of frame wavelets in Banach spaces whose Fourier transforms are supported by frame wavelet sets. Our results generalize the various results of [2] to Banach spaces other than Hilbert spaces using the ...
Devendra Kumar, Shiv Kumar
doaj  

Sharpness of some Hardy-type inequalities

Journal of Inequalities and Applications, 2023
The current status concerning Hardy-type inequalities with sharp constants is presented and described in a unified convexity way. In particular, it is then natural to replace the Lebesgue measure dx with the Haar measure d x / x $dx/x$ .
Lars-Erik Persson, Natasha Samko, George Tephnadze   +2 more
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Haar measure [PDF]

, 2015
Una de las más útiles propiedades de la medida de la integral de Lebesgue es su invarianza bajo traslaciones y rotaciones. Por ejemplo, si a ∈ R n , r ∈ R n×n y f es una función integrable Lebesgue en R n , entonces Z Rn f(x)dx = Z Rn f(rx + a)dx.
Leandro Velosa, Camila Andrea
core  

Products of K-Analytic Sets in Locally Compact Groups and Kuczma–Ger Classes

Axioms, 2022
We prove that for any K-analytic subsets A,B of a locally compact group X if the product AB has empty interior (and is meager) in X, then one of the sets A or B can be covered by countably many closed nowhere dense subsets (of Haar measure zero) in X ...
Taras Banakh, Iryna Banakh, Eliza Jabłońska   +2 more
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A CONSTRUCTION OF A SYSTEM OF MEASURES SUPPORTED ON (r,d)-FIBRES OF A GROUPOID [PDF]

Fiabilitate şi Durabilitate, 2015
The purpose of this paper is to transfer the construction of the Haar measure of a locally compact group to the groupoid settings. The groupoid is endowed with a family of subsets containing the unit space.
Mădălina Roxana BUNECI
doaj  

A note on analytic measures

International Journal of Mathematics and Mathematical Sciences, 1990
Let G be a compact Abelian group with character group X. Let S be a subset of X such that, for some real-valued homomorphism ψ on X, the set S⋂ψ−1(]−∞,ψ(χ)]) is finite for all χ in X.
Nakhle Asmar
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Constructions and Properties of Quasi Sigma-Algebra in Topological Measure Space

Axioms, 2022
The topological views of a measure space provide deep insights. In this paper, the sigma-set algebraic structure is extended in a Hausdorff topological space based on the locally compactable neighborhood systems without considering strictly (metrized ...
Susmit Bagchi
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